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Funktsional'nyi Analiz i ego Prilozheniya, 2014, Volume 48, Issue 2, Pages 93–96
DOI: https://doi.org/10.4213/faa3148 (Mi faa3148) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

On the Weyl Formula for the Laplace Operator on Hyperbolic Riemann Surfaces

D. A. Popovab

a M. V. Lomonosov Moscow State University
b A. N. Belozersky Institute of Physico-Chemical Biology, M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/faa3148
Abstract: An explicit formula which gives an expansion in the zeros of the Selberg function of the second term in the Weyl formula for any strictly hyperbolic group is obtained, and some of its consequences are stated.
Keywords: Weyl formula, strictly hyperbolic group, Selberg zeta function.
Received: 09.07.2012
English version:
Functional Analysis and Its Applications, 2014, Volume 48, Issue 2, Pages 150–153
DOI: https://doi.org/10.1007/s10688-014-0056-x
Bibliographic databases:
Document Type: Article
UDC: 517.984.5
Language: Russian
Citation: D. A. Popov, “On the Weyl Formula for the Laplace Operator on Hyperbolic Riemann Surfaces”, Funktsional. Anal. i Prilozhen., 48:2 (2014), 93–96; Funct. Anal. Appl., 48:2 (2014), 150–153
Citation in format AMSBIB
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  • https://doi.org/10.4213/faa3148
  • https://www.mathnet.ru/eng/faa/v48/i2/p93
    • This publication is cited in the following 1 articles:
    1. D. A. Popov, “Spectrum of the Laplace operator on closed surfaces”, Russian Math. Surveys, 77:1 (2022), 81–97  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    Full-text PDF :229
    References:67
    First page:32
     
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